Answer:
The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication
Step-by-step explanation:
Answer:
$1.80
Step-by-step explanation:
2/3x = 1.2
x = 1.2 / (2/3)
x = 1.2 * (3/2)
x = 1.80
Using a rain gauge, Gerry determined that 1/2 inch of rain fell during 3/4 of an hour.What is the unit rate of rainfall in inches per hour
Trere are two correct answers.That are (-1,-7) and (-6,-14)
Given:
The three equations for the three numbers are
![a=x^2-y^2](https://tex.z-dn.net/?f=a%3Dx%5E2-y%5E2)
![b=2xy](https://tex.z-dn.net/?f=b%3D2xy)
![c=x^2+y^2](https://tex.z-dn.net/?f=c%3Dx%5E2%2By%5E2)
To find:
The Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
Substituting x=4 and and y=1 in the given equations, we get
![a=4^2-1^2](https://tex.z-dn.net/?f=a%3D4%5E2-1%5E2)
![a=16-1](https://tex.z-dn.net/?f=a%3D16-1)
![a=15](https://tex.z-dn.net/?f=a%3D15)
In the same way find b and c.
![b=2(4)(1)](https://tex.z-dn.net/?f=b%3D2%284%29%281%29)
![b=8](https://tex.z-dn.net/?f=b%3D8)
The third number is
![c=4^2+1^2](https://tex.z-dn.net/?f=c%3D4%5E2%2B1%5E2)
![c=16+1](https://tex.z-dn.net/?f=c%3D16%2B1)
![c=17](https://tex.z-dn.net/?f=c%3D17)
The required Pythagorean triple is 8, 15, and 17.
Therefore, the correct option is C.